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Finding the Third Proportional to 448.17 and 692.30

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Solution

The third proportional to 448.17 and 692.30 is: 1,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.17 : 692.30 = 692.30 : x
  2. Step 2: Convert to fraction form
    448.17/692.30 = 692.30/x
  3. Step 3: Cross multiply
    448.17x = 692.30 × 692.30
  4. Step 4: Simplify right side
    448.17x = 479,274.96
  5. Step 5: Solve for x
    x = 479,274.96/448.17
  6. Step 6: Final answer
    x = 1,069.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.